Download presentation
Presentation is loading. Please wait.
1
4.7 The Quadratic Formula Learning goals
solve quadratic equations using the Quadratic Formula determine the number of solutions by using the discriminant
2
If a quadratic equation is written in standard form
then it can be solved with the Quadratic Formula
3
Ex 1 Solve using the QF
4
Ex 2 Solve using the QF
5
discriminant : value beneath the radical
Value of Discriminant Number of Solutions Type of Solutions Graph Intercepts Graph > 0 and a perfect square 2 rational 2 x-intercepts and NOT a perfect square irrational = 0 1 1 x-intercept < 0 complex; no real no x-intercepts
6
Ex 3 Determine the type & number of solutions.
7
Ex 4 A player throws a ball up and toward a wall that is 17 feet high. The height h in feet of the ball t seconds after it leaves the player’s hand is modeled by the equation above. If the ball makes it to wall, will it go over the wall or hit the wall?
8
Ex 5 Your school’s jazz band is selling CDs as a fund raiser. The total profit p depends on the amount charged for each CD. The equation above models the profit of the fund raiser. What is the least amount, in dollars, you can charge for a CD to make a profit of $200?
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.